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Finding the Third Proportional to 458,680 and 708,468

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Solution

The third proportional to 458,680 and 708,468 is: 1,094,285.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,680 : 708,468 = 708,468 : x
  2. Step 2: Convert to fraction form
    458,680/708,468 = 708,468/x
  3. Step 3: Cross multiply
    458,680x = 708,468 × 708,468
  4. Step 4: Simplify right side
    458,680x = 501,926,907,024
  5. Step 5: Solve for x
    x = 501,926,907,024/458,680
  6. Step 6: Final answer
    x = 1,094,285.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.