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Finding the Third Proportional to 240,212 and 556,030

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Solution

The third proportional to 240,212 and 556,030 is: 1,287,068.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,212 : 556,030 = 556,030 : x
  2. Step 2: Convert to fraction form
    240,212/556,030 = 556,030/x
  3. Step 3: Cross multiply
    240,212x = 556,030 × 556,030
  4. Step 4: Simplify right side
    240,212x = 309,169,360,900
  5. Step 5: Solve for x
    x = 309,169,360,900/240,212
  6. Step 6: Final answer
    x = 1,287,068.76

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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.