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Finding the Third Proportional to 431,050.50 and 634,047.75

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Solution

The third proportional to 431,050.50 and 634,047.75 is: 932,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,050.50 : 634,047.75 = 634,047.75 : x
  2. Step 2: Convert to fraction form
    431,050.50/634,047.75 = 634,047.75/x
  3. Step 3: Cross multiply
    431,050.50x = 634,047.75 × 634,047.75
  4. Step 4: Simplify right side
    431,050.50x = 402,016,549,280.06
  5. Step 5: Solve for x
    x = 402,016,549,280.06/431,050.50
  6. Step 6: Final answer
    x = 932,643.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.