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Finding the Third Proportional to 364,414 and 571,607

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Solution

The third proportional to 364,414 and 571,607 is: 896,602.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,414 : 571,607 = 571,607 : x
  2. Step 2: Convert to fraction form
    364,414/571,607 = 571,607/x
  3. Step 3: Cross multiply
    364,414x = 571,607 × 571,607
  4. Step 4: Simplify right side
    364,414x = 326,734,562,449
  5. Step 5: Solve for x
    x = 326,734,562,449/364,414
  6. Step 6: Final answer
    x = 896,602.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.