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Finding the Third Proportional to 296,723 and 563,557

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Solution

The third proportional to 296,723 and 563,557 is: 1,070,346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,723 : 563,557 = 563,557 : x
  2. Step 2: Convert to fraction form
    296,723/563,557 = 563,557/x
  3. Step 3: Cross multiply
    296,723x = 563,557 × 563,557
  4. Step 4: Simplify right side
    296,723x = 317,596,492,249
  5. Step 5: Solve for x
    x = 317,596,492,249/296,723
  6. Step 6: Final answer
    x = 1,070,346.73

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.