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Finding the Third Proportional to 349,714.13 and 522,406.13

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Solution

The third proportional to 349,714.13 and 522,406.13 is: 780,375.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,714.13 : 522,406.13 = 522,406.13 : x
  2. Step 2: Convert to fraction form
    349,714.13/522,406.13 = 522,406.13/x
  3. Step 3: Cross multiply
    349,714.13x = 522,406.13 × 522,406.13
  4. Step 4: Simplify right side
    349,714.13x = 272,908,159,437.52
  5. Step 5: Solve for x
    x = 272,908,159,437.52/349,714.13
  6. Step 6: Final answer
    x = 780,375.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.