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Finding the Third Proportional to 497,395 and 750,819

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Solution

The third proportional to 497,395 and 750,819 is: 1,133,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,395 : 750,819 = 750,819 : x
  2. Step 2: Convert to fraction form
    497,395/750,819 = 750,819/x
  3. Step 3: Cross multiply
    497,395x = 750,819 × 750,819
  4. Step 4: Simplify right side
    497,395x = 563,729,170,761
  5. Step 5: Solve for x
    x = 563,729,170,761/497,395
  6. Step 6: Final answer
    x = 1,133,363.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.