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Finding the Third Proportional to 566,982 and 877,263

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Solution

The third proportional to 566,982 and 877,263 is: 1,357,345.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,982 : 877,263 = 877,263 : x
  2. Step 2: Convert to fraction form
    566,982/877,263 = 877,263/x
  3. Step 3: Cross multiply
    566,982x = 877,263 × 877,263
  4. Step 4: Simplify right side
    566,982x = 769,590,371,169
  5. Step 5: Solve for x
    x = 769,590,371,169/566,982
  6. Step 6: Final answer
    x = 1,357,345.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.