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Finding the Third Proportional to 508,502 and 744,558

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Solution

The third proportional to 508,502 and 744,558 is: 1,090,195.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,502 : 744,558 = 744,558 : x
  2. Step 2: Convert to fraction form
    508,502/744,558 = 744,558/x
  3. Step 3: Cross multiply
    508,502x = 744,558 × 744,558
  4. Step 4: Simplify right side
    508,502x = 554,366,615,364
  5. Step 5: Solve for x
    x = 554,366,615,364/508,502
  6. Step 6: Final answer
    x = 1,090,195.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.