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Finding the Third Proportional to 443,712.66 and 634,514.34

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Solution

The third proportional to 443,712.66 and 634,514.34 is: 907,363.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,712.66 : 634,514.34 = 634,514.34 : x
  2. Step 2: Convert to fraction form
    443,712.66/634,514.34 = 634,514.34/x
  3. Step 3: Cross multiply
    443,712.66x = 634,514.34 × 634,514.34
  4. Step 4: Simplify right side
    443,712.66x = 402,608,452,424.49
  5. Step 5: Solve for x
    x = 402,608,452,424.49/443,712.66
  6. Step 6: Final answer
    x = 907,363.01

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.