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Finding the Third Proportional to 344,528 and 537,208

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Solution

The third proportional to 344,528 and 537,208 is: 837,645.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,528 : 537,208 = 537,208 : x
  2. Step 2: Convert to fraction form
    344,528/537,208 = 537,208/x
  3. Step 3: Cross multiply
    344,528x = 537,208 × 537,208
  4. Step 4: Simplify right side
    344,528x = 288,592,435,264
  5. Step 5: Solve for x
    x = 288,592,435,264/344,528
  6. Step 6: Final answer
    x = 837,645.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.