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Finding the Third Proportional to 403,416.38 and 877,808.63

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Solution

The third proportional to 403,416.38 and 877,808.63 is: 1,910,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,416.38 : 877,808.63 = 877,808.63 : x
  2. Step 2: Convert to fraction form
    403,416.38/877,808.63 = 877,808.63/x
  3. Step 3: Cross multiply
    403,416.38x = 877,808.63 × 877,808.63
  4. Step 4: Simplify right side
    403,416.38x = 770,547,982,124.39
  5. Step 5: Solve for x
    x = 770,547,982,124.39/403,416.38
  6. Step 6: Final answer
    x = 1,910,056.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.