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Finding the Third Proportional to 346,432 and 771,560

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Solution

The third proportional to 346,432 and 771,560 is: 1,718,388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,432 : 771,560 = 771,560 : x
  2. Step 2: Convert to fraction form
    346,432/771,560 = 771,560/x
  3. Step 3: Cross multiply
    346,432x = 771,560 × 771,560
  4. Step 4: Simplify right side
    346,432x = 595,304,833,600
  5. Step 5: Solve for x
    x = 595,304,833,600/346,432
  6. Step 6: Final answer
    x = 1,718,388.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.