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Finding the Third Proportional to 374,914 and 808,877

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Solution

The third proportional to 374,914 and 808,877 is: 1,745,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,914 : 808,877 = 808,877 : x
  2. Step 2: Convert to fraction form
    374,914/808,877 = 808,877/x
  3. Step 3: Cross multiply
    374,914x = 808,877 × 808,877
  4. Step 4: Simplify right side
    374,914x = 654,282,001,129
  5. Step 5: Solve for x
    x = 654,282,001,129/374,914
  6. Step 6: Final answer
    x = 1,745,152.22

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Why These Related Problems?

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