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Finding the Third Proportional to 497,583 and 748,870.50

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Solution

The third proportional to 497,583 and 748,870.50 is: 1,127,062.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,583 : 748,870.50 = 748,870.50 : x
  2. Step 2: Convert to fraction form
    497,583/748,870.50 = 748,870.50/x
  3. Step 3: Cross multiply
    497,583x = 748,870.50 × 748,870.50
  4. Step 4: Simplify right side
    497,583x = 560,807,025,770.25
  5. Step 5: Solve for x
    x = 560,807,025,770.25/497,583
  6. Step 6: Final answer
    x = 1,127,062.27

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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.