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Finding the Third Proportional to 565,410 and 792,417

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Solution

The third proportional to 565,410 and 792,417 is: 1,110,565.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,410 : 792,417 = 792,417 : x
  2. Step 2: Convert to fraction form
    565,410/792,417 = 792,417/x
  3. Step 3: Cross multiply
    565,410x = 792,417 × 792,417
  4. Step 4: Simplify right side
    565,410x = 627,924,701,889
  5. Step 5: Solve for x
    x = 627,924,701,889/565,410
  6. Step 6: Final answer
    x = 1,110,565.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.