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Finding the Third Proportional to 457,083 and 708,436.13

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Solution

The third proportional to 457,083 and 708,436.13 is: 1,098,010.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,083 : 708,436.13 = 708,436.13 : x
  2. Step 2: Convert to fraction form
    457,083/708,436.13 = 708,436.13/x
  3. Step 3: Cross multiply
    457,083x = 708,436.13 × 708,436.13
  4. Step 4: Simplify right side
    457,083x = 501,881,743,205.02
  5. Step 5: Solve for x
    x = 501,881,743,205.02/457,083
  6. Step 6: Final answer
    x = 1,098,010.08

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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.