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Finding the Third Proportional to 269,113.50 and 634,376

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Solution

The third proportional to 269,113.50 and 634,376 is: 1,495,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,113.50 : 634,376 = 634,376 : x
  2. Step 2: Convert to fraction form
    269,113.50/634,376 = 634,376/x
  3. Step 3: Cross multiply
    269,113.50x = 634,376 × 634,376
  4. Step 4: Simplify right side
    269,113.50x = 402,432,909,376
  5. Step 5: Solve for x
    x = 402,432,909,376/269,113.50
  6. Step 6: Final answer
    x = 1,495,402.16

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.