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Finding the Third Proportional to 240,368 and 556,432

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Solution

The third proportional to 240,368 and 556,432 is: 1,288,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,368 : 556,432 = 556,432 : x
  2. Step 2: Convert to fraction form
    240,368/556,432 = 556,432/x
  3. Step 3: Cross multiply
    240,368x = 556,432 × 556,432
  4. Step 4: Simplify right side
    240,368x = 309,616,570,624
  5. Step 5: Solve for x
    x = 309,616,570,624/240,368
  6. Step 6: Final answer
    x = 1,288,093.97

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.