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Finding the Third Proportional to 478,722 and 708,840

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Solution

The third proportional to 478,722 and 708,840 is: 1,049,573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,722 : 708,840 = 708,840 : x
  2. Step 2: Convert to fraction form
    478,722/708,840 = 708,840/x
  3. Step 3: Cross multiply
    478,722x = 708,840 × 708,840
  4. Step 4: Simplify right side
    478,722x = 502,454,145,600
  5. Step 5: Solve for x
    x = 502,454,145,600/478,722
  6. Step 6: Final answer
    x = 1,049,573.96

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