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Finding the Third Proportional to 354,537 and 563,773

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Solution

The third proportional to 354,537 and 563,773 is: 896,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,537 : 563,773 = 563,773 : x
  2. Step 2: Convert to fraction form
    354,537/563,773 = 563,773/x
  3. Step 3: Cross multiply
    354,537x = 563,773 × 563,773
  4. Step 4: Simplify right side
    354,537x = 317,839,995,529
  5. Step 5: Solve for x
    x = 317,839,995,529/354,537
  6. Step 6: Final answer
    x = 896,493.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.