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Finding the Third Proportional to 261,572 and 370,228

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Solution

The third proportional to 261,572 and 370,228 is: 524,019.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,572 : 370,228 = 370,228 : x
  2. Step 2: Convert to fraction form
    261,572/370,228 = 370,228/x
  3. Step 3: Cross multiply
    261,572x = 370,228 × 370,228
  4. Step 4: Simplify right side
    261,572x = 137,068,771,984
  5. Step 5: Solve for x
    x = 137,068,771,984/261,572
  6. Step 6: Final answer
    x = 524,019.28

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.