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Finding the Third Proportional to 508,698 and 754,407

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Solution

The third proportional to 508,698 and 754,407 is: 1,118,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,698 : 754,407 = 754,407 : x
  2. Step 2: Convert to fraction form
    508,698/754,407 = 754,407/x
  3. Step 3: Cross multiply
    508,698x = 754,407 × 754,407
  4. Step 4: Simplify right side
    508,698x = 569,129,921,649
  5. Step 5: Solve for x
    x = 569,129,921,649/508,698
  6. Step 6: Final answer
    x = 1,118,797.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.