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Finding the Third Proportional to 349,632 and 754,560

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Solution

The third proportional to 349,632 and 754,560 is: 1,628,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,632 : 754,560 = 754,560 : x
  2. Step 2: Convert to fraction form
    349,632/754,560 = 754,560/x
  3. Step 3: Cross multiply
    349,632x = 754,560 × 754,560
  4. Step 4: Simplify right side
    349,632x = 569,360,793,600
  5. Step 5: Solve for x
    x = 569,360,793,600/349,632
  6. Step 6: Final answer
    x = 1,628,457.33

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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.