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Finding the Third Proportional to 245,854.13 and 379,699.88

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Solution

The third proportional to 245,854.13 and 379,699.88 is: 586,412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,854.13 : 379,699.88 = 379,699.88 : x
  2. Step 2: Convert to fraction form
    245,854.13/379,699.88 = 379,699.88/x
  3. Step 3: Cross multiply
    245,854.13x = 379,699.88 × 379,699.88
  4. Step 4: Simplify right side
    245,854.13x = 144,171,995,075.02
  5. Step 5: Solve for x
    x = 144,171,995,075.02/245,854.13
  6. Step 6: Final answer
    x = 586,412.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.