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Finding the Third Proportional to 473,202 and 733,009.50

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Solution

The third proportional to 473,202 and 733,009.50 is: 1,135,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,202 : 733,009.50 = 733,009.50 : x
  2. Step 2: Convert to fraction form
    473,202/733,009.50 = 733,009.50/x
  3. Step 3: Cross multiply
    473,202x = 733,009.50 × 733,009.50
  4. Step 4: Simplify right side
    473,202x = 537,302,927,090.25
  5. Step 5: Solve for x
    x = 537,302,927,090.25/473,202
  6. Step 6: Final answer
    x = 1,135,462.08

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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.