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Finding the Third Proportional to 242,070 and 531,924

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Solution

The third proportional to 242,070 and 531,924 is: 1,168,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,070 : 531,924 = 531,924 : x
  2. Step 2: Convert to fraction form
    242,070/531,924 = 531,924/x
  3. Step 3: Cross multiply
    242,070x = 531,924 × 531,924
  4. Step 4: Simplify right side
    242,070x = 282,943,141,776
  5. Step 5: Solve for x
    x = 282,943,141,776/242,070
  6. Step 6: Final answer
    x = 1,168,848.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.