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Finding the Third Proportional to 349,106 and 760,418

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Solution

The third proportional to 349,106 and 760,418 is: 1,656,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,106 : 760,418 = 760,418 : x
  2. Step 2: Convert to fraction form
    349,106/760,418 = 760,418/x
  3. Step 3: Cross multiply
    349,106x = 760,418 × 760,418
  4. Step 4: Simplify right side
    349,106x = 578,235,534,724
  5. Step 5: Solve for x
    x = 578,235,534,724/349,106
  6. Step 6: Final answer
    x = 1,656,332.27

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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.