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Finding the Third Proportional to 240,894 and 508,920

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Solution

The third proportional to 240,894 and 508,920 is: 1,075,159.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,894 : 508,920 = 508,920 : x
  2. Step 2: Convert to fraction form
    240,894/508,920 = 508,920/x
  3. Step 3: Cross multiply
    240,894x = 508,920 × 508,920
  4. Step 4: Simplify right side
    240,894x = 258,999,566,400
  5. Step 5: Solve for x
    x = 258,999,566,400/240,894
  6. Step 6: Final answer
    x = 1,075,159.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.