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Finding the Third Proportional to 354,664 and 564,614

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Solution

The third proportional to 354,664 and 564,614 is: 898,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,664 : 564,614 = 564,614 : x
  2. Step 2: Convert to fraction form
    354,664/564,614 = 564,614/x
  3. Step 3: Cross multiply
    354,664x = 564,614 × 564,614
  4. Step 4: Simplify right side
    354,664x = 318,788,968,996
  5. Step 5: Solve for x
    x = 318,788,968,996/354,664
  6. Step 6: Final answer
    x = 898,847.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.