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Finding the Third Proportional to 560,308 and 805,452

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Solution

The third proportional to 560,308 and 805,452 is: 1,157,850.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,308 : 805,452 = 805,452 : x
  2. Step 2: Convert to fraction form
    560,308/805,452 = 805,452/x
  3. Step 3: Cross multiply
    560,308x = 805,452 × 805,452
  4. Step 4: Simplify right side
    560,308x = 648,752,924,304
  5. Step 5: Solve for x
    x = 648,752,924,304/560,308
  6. Step 6: Final answer
    x = 1,157,850.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.