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Finding the Third Proportional to 348,429 and 738,724

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Solution

The third proportional to 348,429 and 738,724 is: 1,566,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,429 : 738,724 = 738,724 : x
  2. Step 2: Convert to fraction form
    348,429/738,724 = 738,724/x
  3. Step 3: Cross multiply
    348,429x = 738,724 × 738,724
  4. Step 4: Simplify right side
    348,429x = 545,713,148,176
  5. Step 5: Solve for x
    x = 545,713,148,176/348,429
  6. Step 6: Final answer
    x = 1,566,210.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.