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Finding the Third Proportional to 357,527 and 525,346

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Solution

The third proportional to 357,527 and 525,346 is: 771,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,527 : 525,346 = 525,346 : x
  2. Step 2: Convert to fraction form
    357,527/525,346 = 525,346/x
  3. Step 3: Cross multiply
    357,527x = 525,346 × 525,346
  4. Step 4: Simplify right side
    357,527x = 275,988,419,716
  5. Step 5: Solve for x
    x = 275,988,419,716/357,527
  6. Step 6: Final answer
    x = 771,937.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.