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Finding the Third Proportional to 478,716 and 708,831

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Solution

The third proportional to 478,716 and 708,831 is: 1,049,560.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,716 : 708,831 = 708,831 : x
  2. Step 2: Convert to fraction form
    478,716/708,831 = 708,831/x
  3. Step 3: Cross multiply
    478,716x = 708,831 × 708,831
  4. Step 4: Simplify right side
    478,716x = 502,441,386,561
  5. Step 5: Solve for x
    x = 502,441,386,561/478,716
  6. Step 6: Final answer
    x = 1,049,560.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.