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Finding the Third Proportional to 304,600,076.50 and 470,872,884.50

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Solution

The third proportional to 304,600,076.50 and 470,872,884.50 is: 727,909,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,600,076.50 : 470,872,884.50 = 470,872,884.50 : x
  2. Step 2: Convert to fraction form
    304,600,076.50/470,872,884.50 = 470,872,884.50/x
  3. Step 3: Cross multiply
    304,600,076.50x = 470,872,884.50 × 470,872,884.50
  4. Step 4: Simplify right side
    304,600,076.50x = 221,721,273,357,350,336
  5. Step 5: Solve for x
    x = 221,721,273,357,350,336/304,600,076.50
  6. Step 6: Final answer
    x = 727,909,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.