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Finding the Third Proportional to 397,666.50 and 602,292

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Solution

The third proportional to 397,666.50 and 602,292 is: 912,210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,666.50 : 602,292 = 602,292 : x
  2. Step 2: Convert to fraction form
    397,666.50/602,292 = 602,292/x
  3. Step 3: Cross multiply
    397,666.50x = 602,292 × 602,292
  4. Step 4: Simplify right side
    397,666.50x = 362,755,653,264
  5. Step 5: Solve for x
    x = 362,755,653,264/397,666.50
  6. Step 6: Final answer
    x = 912,210.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.