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Finding the Third Proportional to 402,570 and 626,211

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Solution

The third proportional to 402,570 and 626,211 is: 974,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,570 : 626,211 = 626,211 : x
  2. Step 2: Convert to fraction form
    402,570/626,211 = 626,211/x
  3. Step 3: Cross multiply
    402,570x = 626,211 × 626,211
  4. Step 4: Simplify right side
    402,570x = 392,140,216,521
  5. Step 5: Solve for x
    x = 392,140,216,521/402,570
  6. Step 6: Final answer
    x = 974,092.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.