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Finding the Third Proportional to 252,640 and 371,572

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Solution

The third proportional to 252,640 and 371,572 is: 546,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,640 : 371,572 = 371,572 : x
  2. Step 2: Convert to fraction form
    252,640/371,572 = 371,572/x
  3. Step 3: Cross multiply
    252,640x = 371,572 × 371,572
  4. Step 4: Simplify right side
    252,640x = 138,065,751,184
  5. Step 5: Solve for x
    x = 138,065,751,184/252,640
  6. Step 6: Final answer
    x = 546,492.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.