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Finding the Third Proportional to 357,632 and 744,360

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Solution

The third proportional to 357,632 and 744,360 is: 1,549,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,632 : 744,360 = 744,360 : x
  2. Step 2: Convert to fraction form
    357,632/744,360 = 744,360/x
  3. Step 3: Cross multiply
    357,632x = 744,360 × 744,360
  4. Step 4: Simplify right side
    357,632x = 554,071,809,600
  5. Step 5: Solve for x
    x = 554,071,809,600/357,632
  6. Step 6: Final answer
    x = 1,549,279.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.