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Finding the Third Proportional to 404,870.63 and 865,783.13

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Solution

The third proportional to 404,870.63 and 865,783.13 is: 1,851,407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,870.63 : 865,783.13 = 865,783.13 : x
  2. Step 2: Convert to fraction form
    404,870.63/865,783.13 = 865,783.13/x
  3. Step 3: Cross multiply
    404,870.63x = 865,783.13 × 865,783.13
  4. Step 4: Simplify right side
    404,870.63x = 749,580,419,534.77
  5. Step 5: Solve for x
    x = 749,580,419,534.77/404,870.63
  6. Step 6: Final answer
    x = 1,851,407.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.