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Finding the Third Proportional to 405,877.92 and 882,400.92

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Solution

The third proportional to 405,877.92 and 882,400.92 is: 1,918,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,877.92 : 882,400.92 = 882,400.92 : x
  2. Step 2: Convert to fraction form
    405,877.92/882,400.92 = 882,400.92/x
  3. Step 3: Cross multiply
    405,877.92x = 882,400.92 × 882,400.92
  4. Step 4: Simplify right side
    405,877.92x = 778,631,386,925.85
  5. Step 5: Solve for x
    x = 778,631,386,925.85/405,877.92
  6. Step 6: Final answer
    x = 1,918,388.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.