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Finding the Third Proportional to 474,669 and 634,072.50

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Solution

The third proportional to 474,669 and 634,072.50 is: 847,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,669 : 634,072.50 = 634,072.50 : x
  2. Step 2: Convert to fraction form
    474,669/634,072.50 = 634,072.50/x
  3. Step 3: Cross multiply
    474,669x = 634,072.50 × 634,072.50
  4. Step 4: Simplify right side
    474,669x = 402,047,935,256.25
  5. Step 5: Solve for x
    x = 402,047,935,256.25/474,669
  6. Step 6: Final answer
    x = 847,006.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.