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Finding the Third Proportional to 349,098 and 760,402

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Solution

The third proportional to 349,098 and 760,402 is: 1,656,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,098 : 760,402 = 760,402 : x
  2. Step 2: Convert to fraction form
    349,098/760,402 = 760,402/x
  3. Step 3: Cross multiply
    349,098x = 760,402 × 760,402
  4. Step 4: Simplify right side
    349,098x = 578,211,201,604
  5. Step 5: Solve for x
    x = 578,211,201,604/349,098
  6. Step 6: Final answer
    x = 1,656,300.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.