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Finding the Third Proportional to 478,730 and 708,848

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Solution

The third proportional to 478,730 and 708,848 is: 1,049,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,730 : 708,848 = 708,848 : x
  2. Step 2: Convert to fraction form
    478,730/708,848 = 708,848/x
  3. Step 3: Cross multiply
    478,730x = 708,848 × 708,848
  4. Step 4: Simplify right side
    478,730x = 502,465,487,104
  5. Step 5: Solve for x
    x = 502,465,487,104/478,730
  6. Step 6: Final answer
    x = 1,049,580.11

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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.