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Finding the Third Proportional to 634,927 and 864,646.50

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Solution

The third proportional to 634,927 and 864,646.50 is: 1,177,479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,927 : 864,646.50 = 864,646.50 : x
  2. Step 2: Convert to fraction form
    634,927/864,646.50 = 864,646.50/x
  3. Step 3: Cross multiply
    634,927x = 864,646.50 × 864,646.50
  4. Step 4: Simplify right side
    634,927x = 747,613,569,962.25
  5. Step 5: Solve for x
    x = 747,613,569,962.25/634,927
  6. Step 6: Final answer
    x = 1,177,479.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.