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Finding the Third Proportional to 443,712.09 and 634,513.50

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Solution

The third proportional to 443,712.09 and 634,513.50 is: 907,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,712.09 : 634,513.50 = 634,513.50 : x
  2. Step 2: Convert to fraction form
    443,712.09/634,513.50 = 634,513.50/x
  3. Step 3: Cross multiply
    443,712.09x = 634,513.50 × 634,513.50
  4. Step 4: Simplify right side
    443,712.09x = 402,607,381,682.25
  5. Step 5: Solve for x
    x = 402,607,381,682.25/443,712.09
  6. Step 6: Final answer
    x = 907,361.75

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Why These Related Problems?

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