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Finding the Third Proportional to 346,854 and 749,432

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Solution

The third proportional to 346,854 and 749,432 is: 1,619,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,854 : 749,432 = 749,432 : x
  2. Step 2: Convert to fraction form
    346,854/749,432 = 749,432/x
  3. Step 3: Cross multiply
    346,854x = 749,432 × 749,432
  4. Step 4: Simplify right side
    346,854x = 561,648,322,624
  5. Step 5: Solve for x
    x = 561,648,322,624/346,854
  6. Step 6: Final answer
    x = 1,619,264.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.