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Finding the Third Proportional to 385,152.47 and 563,466.38

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Solution

The third proportional to 385,152.47 and 563,466.38 is: 824,334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,152.47 : 563,466.38 = 563,466.38 : x
  2. Step 2: Convert to fraction form
    385,152.47/563,466.38 = 563,466.38/x
  3. Step 3: Cross multiply
    385,152.47x = 563,466.38 × 563,466.38
  4. Step 4: Simplify right side
    385,152.47x = 317,494,355,755.64
  5. Step 5: Solve for x
    x = 317,494,355,755.64/385,152.47
  6. Step 6: Final answer
    x = 824,334.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.