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Finding the Third Proportional to 489,347.30 and 748,646.72

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Solution

The third proportional to 489,347.30 and 748,646.72 is: 1,145,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,347.30 : 748,646.72 = 748,646.72 : x
  2. Step 2: Convert to fraction form
    489,347.30/748,646.72 = 748,646.72/x
  3. Step 3: Cross multiply
    489,347.30x = 748,646.72 × 748,646.72
  4. Step 4: Simplify right side
    489,347.30x = 560,471,909,495.14
  5. Step 5: Solve for x
    x = 560,471,909,495.14/489,347.30
  6. Step 6: Final answer
    x = 1,145,345.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.