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Finding the Third Proportional to 489,010 and 748,045.50

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Solution

The third proportional to 489,010 and 748,045.50 is: 1,144,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,010 : 748,045.50 = 748,045.50 : x
  2. Step 2: Convert to fraction form
    489,010/748,045.50 = 748,045.50/x
  3. Step 3: Cross multiply
    489,010x = 748,045.50 × 748,045.50
  4. Step 4: Simplify right side
    489,010x = 559,572,070,070.25
  5. Step 5: Solve for x
    x = 559,572,070,070.25/489,010
  6. Step 6: Final answer
    x = 1,144,295.76

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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.