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Finding the Third Proportional to 341,985 and 738,402

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Solution

The third proportional to 341,985 and 738,402 is: 1,594,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,985 : 738,402 = 738,402 : x
  2. Step 2: Convert to fraction form
    341,985/738,402 = 738,402/x
  3. Step 3: Cross multiply
    341,985x = 738,402 × 738,402
  4. Step 4: Simplify right side
    341,985x = 545,237,513,604
  5. Step 5: Solve for x
    x = 545,237,513,604/341,985
  6. Step 6: Final answer
    x = 1,594,331.66

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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.