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Finding the Third Proportional to 560,307.50 and 838,481

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Solution

The third proportional to 560,307.50 and 838,481 is: 1,254,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,307.50 : 838,481 = 838,481 : x
  2. Step 2: Convert to fraction form
    560,307.50/838,481 = 838,481/x
  3. Step 3: Cross multiply
    560,307.50x = 838,481 × 838,481
  4. Step 4: Simplify right side
    560,307.50x = 703,050,387,361
  5. Step 5: Solve for x
    x = 703,050,387,361/560,307.50
  6. Step 6: Final answer
    x = 1,254,758.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.