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Finding the Third Proportional to 596,864 and 877,678

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Solution

The third proportional to 596,864 and 877,678 is: 1,290,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,864 : 877,678 = 877,678 : x
  2. Step 2: Convert to fraction form
    596,864/877,678 = 877,678/x
  3. Step 3: Cross multiply
    596,864x = 877,678 × 877,678
  4. Step 4: Simplify right side
    596,864x = 770,318,671,684
  5. Step 5: Solve for x
    x = 770,318,671,684/596,864
  6. Step 6: Final answer
    x = 1,290,610.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.