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Finding the Third Proportional to 560,364 and 838,563

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Solution

The third proportional to 560,364 and 838,563 is: 1,254,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,364 : 838,563 = 838,563 : x
  2. Step 2: Convert to fraction form
    560,364/838,563 = 838,563/x
  3. Step 3: Cross multiply
    560,364x = 838,563 × 838,563
  4. Step 4: Simplify right side
    560,364x = 703,187,904,969
  5. Step 5: Solve for x
    x = 703,187,904,969/560,364
  6. Step 6: Final answer
    x = 1,254,877.02

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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.