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Finding the Third Proportional to 489,014 and 748,053

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Solution

The third proportional to 489,014 and 748,053 is: 1,144,309.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,014 : 748,053 = 748,053 : x
  2. Step 2: Convert to fraction form
    489,014/748,053 = 748,053/x
  3. Step 3: Cross multiply
    489,014x = 748,053 × 748,053
  4. Step 4: Simplify right side
    489,014x = 559,583,290,809
  5. Step 5: Solve for x
    x = 559,583,290,809/489,014
  6. Step 6: Final answer
    x = 1,144,309.35

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Why These Related Problems?

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