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Finding the Third Proportional to 563,136 and 872,696

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Solution

The third proportional to 563,136 and 872,696 is: 1,352,423.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,136 : 872,696 = 872,696 : x
  2. Step 2: Convert to fraction form
    563,136/872,696 = 872,696/x
  3. Step 3: Cross multiply
    563,136x = 872,696 × 872,696
  4. Step 4: Simplify right side
    563,136x = 761,598,308,416
  5. Step 5: Solve for x
    x = 761,598,308,416/563,136
  6. Step 6: Final answer
    x = 1,352,423.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.