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Finding the Third Proportional to 478,967 and 798,246

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Solution

The third proportional to 478,967 and 798,246 is: 1,330,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,967 : 798,246 = 798,246 : x
  2. Step 2: Convert to fraction form
    478,967/798,246 = 798,246/x
  3. Step 3: Cross multiply
    478,967x = 798,246 × 798,246
  4. Step 4: Simplify right side
    478,967x = 637,196,676,516
  5. Step 5: Solve for x
    x = 637,196,676,516/478,967
  6. Step 6: Final answer
    x = 1,330,356.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.