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Finding the Third Proportional to 615,712 and 925,360

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Solution

The third proportional to 615,712 and 925,360 is: 1,390,733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,712 : 925,360 = 925,360 : x
  2. Step 2: Convert to fraction form
    615,712/925,360 = 925,360/x
  3. Step 3: Cross multiply
    615,712x = 925,360 × 925,360
  4. Step 4: Simplify right side
    615,712x = 856,291,129,600
  5. Step 5: Solve for x
    x = 856,291,129,600/615,712
  6. Step 6: Final answer
    x = 1,390,733.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.