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Finding the Third Proportional to 458,416 and 708,360

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Solution

The third proportional to 458,416 and 708,360 is: 1,094,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,416 : 708,360 = 708,360 : x
  2. Step 2: Convert to fraction form
    458,416/708,360 = 708,360/x
  3. Step 3: Cross multiply
    458,416x = 708,360 × 708,360
  4. Step 4: Simplify right side
    458,416x = 501,773,889,600
  5. Step 5: Solve for x
    x = 501,773,889,600/458,416
  6. Step 6: Final answer
    x = 1,094,581.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.