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Finding the Third Proportional to 341,101.13 and 723,789

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Solution

The third proportional to 341,101.13 and 723,789 is: 1,535,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,101.13 : 723,789 = 723,789 : x
  2. Step 2: Convert to fraction form
    341,101.13/723,789 = 723,789/x
  3. Step 3: Cross multiply
    341,101.13x = 723,789 × 723,789
  4. Step 4: Simplify right side
    341,101.13x = 523,870,516,521
  5. Step 5: Solve for x
    x = 523,870,516,521/341,101.13
  6. Step 6: Final answer
    x = 1,535,821.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.