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Finding the Third Proportional to 346,741 and 750,339

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Solution

The third proportional to 346,741 and 750,339 is: 1,623,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,741 : 750,339 = 750,339 : x
  2. Step 2: Convert to fraction form
    346,741/750,339 = 750,339/x
  3. Step 3: Cross multiply
    346,741x = 750,339 × 750,339
  4. Step 4: Simplify right side
    346,741x = 563,008,614,921
  5. Step 5: Solve for x
    x = 563,008,614,921/346,741
  6. Step 6: Final answer
    x = 1,623,715.15

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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.