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Finding the Third Proportional to 407,875.50 and 881,361

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Solution

The third proportional to 407,875.50 and 881,361 is: 1,904,495.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,875.50 : 881,361 = 881,361 : x
  2. Step 2: Convert to fraction form
    407,875.50/881,361 = 881,361/x
  3. Step 3: Cross multiply
    407,875.50x = 881,361 × 881,361
  4. Step 4: Simplify right side
    407,875.50x = 776,797,212,321
  5. Step 5: Solve for x
    x = 776,797,212,321/407,875.50
  6. Step 6: Final answer
    x = 1,904,495.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.