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Finding the Third Proportional to 522,570 and 763,688

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Solution

The third proportional to 522,570 and 763,688 is: 1,116,059.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,570 : 763,688 = 763,688 : x
  2. Step 2: Convert to fraction form
    522,570/763,688 = 763,688/x
  3. Step 3: Cross multiply
    522,570x = 763,688 × 763,688
  4. Step 4: Simplify right side
    522,570x = 583,219,361,344
  5. Step 5: Solve for x
    x = 583,219,361,344/522,570
  6. Step 6: Final answer
    x = 1,116,059.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.