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Finding the Third Proportional to 390,930 and 856,594.50

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Solution

The third proportional to 390,930 and 856,594.50 is: 1,876,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,930 : 856,594.50 = 856,594.50 : x
  2. Step 2: Convert to fraction form
    390,930/856,594.50 = 856,594.50/x
  3. Step 3: Cross multiply
    390,930x = 856,594.50 × 856,594.50
  4. Step 4: Simplify right side
    390,930x = 733,754,137,430.25
  5. Step 5: Solve for x
    x = 733,754,137,430.25/390,930
  6. Step 6: Final answer
    x = 1,876,945.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.