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Finding the Third Proportional to 240,386 and 373,686

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Solution

The third proportional to 240,386 and 373,686 is: 580,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,386 : 373,686 = 373,686 : x
  2. Step 2: Convert to fraction form
    240,386/373,686 = 373,686/x
  3. Step 3: Cross multiply
    240,386x = 373,686 × 373,686
  4. Step 4: Simplify right side
    240,386x = 139,641,226,596
  5. Step 5: Solve for x
    x = 139,641,226,596/240,386
  6. Step 6: Final answer
    x = 580,904.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.