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Finding the Third Proportional to 410,688 and 614,361

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Solution

The third proportional to 410,688 and 614,361 is: 919,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,688 : 614,361 = 614,361 : x
  2. Step 2: Convert to fraction form
    410,688/614,361 = 614,361/x
  3. Step 3: Cross multiply
    410,688x = 614,361 × 614,361
  4. Step 4: Simplify right side
    410,688x = 377,439,438,321
  5. Step 5: Solve for x
    x = 377,439,438,321/410,688
  6. Step 6: Final answer
    x = 919,041.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.