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Finding the Third Proportional to 455,560 and 665,776

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Solution

The third proportional to 455,560 and 665,776 is: 972,995.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,560 : 665,776 = 665,776 : x
  2. Step 2: Convert to fraction form
    455,560/665,776 = 665,776/x
  3. Step 3: Cross multiply
    455,560x = 665,776 × 665,776
  4. Step 4: Simplify right side
    455,560x = 443,257,682,176
  5. Step 5: Solve for x
    x = 443,257,682,176/455,560
  6. Step 6: Final answer
    x = 972,995.18

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