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Finding the Third Proportional to 240,352 and 556,404

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Solution

The third proportional to 240,352 and 556,404 is: 1,288,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,352 : 556,404 = 556,404 : x
  2. Step 2: Convert to fraction form
    240,352/556,404 = 556,404/x
  3. Step 3: Cross multiply
    240,352x = 556,404 × 556,404
  4. Step 4: Simplify right side
    240,352x = 309,585,411,216
  5. Step 5: Solve for x
    x = 309,585,411,216/240,352
  6. Step 6: Final answer
    x = 1,288,050.07

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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.