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Finding the Third Proportional to 296,136 and 651,294

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Solution

The third proportional to 296,136 and 651,294 is: 1,432,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,136 : 651,294 = 651,294 : x
  2. Step 2: Convert to fraction form
    296,136/651,294 = 651,294/x
  3. Step 3: Cross multiply
    296,136x = 651,294 × 651,294
  4. Step 4: Simplify right side
    296,136x = 424,183,874,436
  5. Step 5: Solve for x
    x = 424,183,874,436/296,136
  6. Step 6: Final answer
    x = 1,432,395.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.