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Finding the Third Proportional to 347,113 and 524,370

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Solution

The third proportional to 347,113 and 524,370 is: 792,145.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,113 : 524,370 = 524,370 : x
  2. Step 2: Convert to fraction form
    347,113/524,370 = 524,370/x
  3. Step 3: Cross multiply
    347,113x = 524,370 × 524,370
  4. Step 4: Simplify right side
    347,113x = 274,963,896,900
  5. Step 5: Solve for x
    x = 274,963,896,900/347,113
  6. Step 6: Final answer
    x = 792,145.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.