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Finding the Third Proportional to 560,334 and 754,929

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Solution

The third proportional to 560,334 and 754,929 is: 1,017,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,334 : 754,929 = 754,929 : x
  2. Step 2: Convert to fraction form
    560,334/754,929 = 754,929/x
  3. Step 3: Cross multiply
    560,334x = 754,929 × 754,929
  4. Step 4: Simplify right side
    560,334x = 569,917,795,041
  5. Step 5: Solve for x
    x = 569,917,795,041/560,334
  6. Step 6: Final answer
    x = 1,017,103.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.