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Finding the Third Proportional to 380,899.13 and 602,628.19

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Solution

The third proportional to 380,899.13 and 602,628.19 is: 953,430.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,899.13 : 602,628.19 = 602,628.19 : x
  2. Step 2: Convert to fraction form
    380,899.13/602,628.19 = 602,628.19/x
  3. Step 3: Cross multiply
    380,899.13x = 602,628.19 × 602,628.19
  4. Step 4: Simplify right side
    380,899.13x = 363,160,732,369.54
  5. Step 5: Solve for x
    x = 363,160,732,369.54/380,899.13
  6. Step 6: Final answer
    x = 953,430.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.