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Finding the Third Proportional to 340,672 and 750,464

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Solution

The third proportional to 340,672 and 750,464 is: 1,653,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,672 : 750,464 = 750,464 : x
  2. Step 2: Convert to fraction form
    340,672/750,464 = 750,464/x
  3. Step 3: Cross multiply
    340,672x = 750,464 × 750,464
  4. Step 4: Simplify right side
    340,672x = 563,196,215,296
  5. Step 5: Solve for x
    x = 563,196,215,296/340,672
  6. Step 6: Final answer
    x = 1,653,191.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.