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Finding the Third Proportional to 357,675 and 501,354

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Solution

The third proportional to 357,675 and 501,354 is: 702,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,675 : 501,354 = 501,354 : x
  2. Step 2: Convert to fraction form
    357,675/501,354 = 501,354/x
  3. Step 3: Cross multiply
    357,675x = 501,354 × 501,354
  4. Step 4: Simplify right side
    357,675x = 251,355,833,316
  5. Step 5: Solve for x
    x = 251,355,833,316/357,675
  6. Step 6: Final answer
    x = 702,749.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.