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Finding the Third Proportional to 489,008 and 748,042.50

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Solution

The third proportional to 489,008 and 748,042.50 is: 1,144,291.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,008 : 748,042.50 = 748,042.50 : x
  2. Step 2: Convert to fraction form
    489,008/748,042.50 = 748,042.50/x
  3. Step 3: Cross multiply
    489,008x = 748,042.50 × 748,042.50
  4. Step 4: Simplify right side
    489,008x = 559,567,581,806.25
  5. Step 5: Solve for x
    x = 559,567,581,806.25/489,008
  6. Step 6: Final answer
    x = 1,144,291.26

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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.