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Finding the Third Proportional to 301,752.56 and 560,710.13

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Solution

The third proportional to 301,752.56 and 560,710.13 is: 1,041,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,752.56 : 560,710.13 = 560,710.13 : x
  2. Step 2: Convert to fraction form
    301,752.56/560,710.13 = 560,710.13/x
  3. Step 3: Cross multiply
    301,752.56x = 560,710.13 × 560,710.13
  4. Step 4: Simplify right side
    301,752.56x = 314,395,844,277.52
  5. Step 5: Solve for x
    x = 314,395,844,277.52/301,752.56
  6. Step 6: Final answer
    x = 1,041,899.50

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.