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Finding the Third Proportional to 430,177.50 and 630,051.75

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Solution

The third proportional to 430,177.50 and 630,051.75 is: 922,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,177.50 : 630,051.75 = 630,051.75 : x
  2. Step 2: Convert to fraction form
    430,177.50/630,051.75 = 630,051.75/x
  3. Step 3: Cross multiply
    430,177.50x = 630,051.75 × 630,051.75
  4. Step 4: Simplify right side
    430,177.50x = 396,965,207,678.06
  5. Step 5: Solve for x
    x = 396,965,207,678.06/430,177.50
  6. Step 6: Final answer
    x = 922,793.98

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.