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Finding the Third Proportional to 346,160 and 747,679

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Solution

The third proportional to 346,160 and 747,679 is: 1,614,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,160 : 747,679 = 747,679 : x
  2. Step 2: Convert to fraction form
    346,160/747,679 = 747,679/x
  3. Step 3: Cross multiply
    346,160x = 747,679 × 747,679
  4. Step 4: Simplify right side
    346,160x = 559,023,887,041
  5. Step 5: Solve for x
    x = 559,023,887,041/346,160
  6. Step 6: Final answer
    x = 1,614,929.19

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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.