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Finding the Third Proportional to 411,970 and 637,557

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Solution

The third proportional to 411,970 and 637,557 is: 986,671.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,970 : 637,557 = 637,557 : x
  2. Step 2: Convert to fraction form
    411,970/637,557 = 637,557/x
  3. Step 3: Cross multiply
    411,970x = 637,557 × 637,557
  4. Step 4: Simplify right side
    411,970x = 406,478,928,249
  5. Step 5: Solve for x
    x = 406,478,928,249/411,970
  6. Step 6: Final answer
    x = 986,671.19

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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.