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Finding the Third Proportional to 304,409 and 484,801.50

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Solution

The third proportional to 304,409 and 484,801.50 is: 772,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,409 : 484,801.50 = 484,801.50 : x
  2. Step 2: Convert to fraction form
    304,409/484,801.50 = 484,801.50/x
  3. Step 3: Cross multiply
    304,409x = 484,801.50 × 484,801.50
  4. Step 4: Simplify right side
    304,409x = 235,032,494,402.25
  5. Step 5: Solve for x
    x = 235,032,494,402.25/304,409
  6. Step 6: Final answer
    x = 772,094.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.