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Finding the Third Proportional to 478,714 and 708,828

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Solution

The third proportional to 478,714 and 708,828 is: 1,049,555.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,714 : 708,828 = 708,828 : x
  2. Step 2: Convert to fraction form
    478,714/708,828 = 708,828/x
  3. Step 3: Cross multiply
    478,714x = 708,828 × 708,828
  4. Step 4: Simplify right side
    478,714x = 502,437,133,584
  5. Step 5: Solve for x
    x = 502,437,133,584/478,714
  6. Step 6: Final answer
    x = 1,049,555.96

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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.