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Finding the Third Proportional to 253,628 and 549,528

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Solution

The third proportional to 253,628 and 549,528 is: 1,190,645.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,628 : 549,528 = 549,528 : x
  2. Step 2: Convert to fraction form
    253,628/549,528 = 549,528/x
  3. Step 3: Cross multiply
    253,628x = 549,528 × 549,528
  4. Step 4: Simplify right side
    253,628x = 301,981,022,784
  5. Step 5: Solve for x
    x = 301,981,022,784/253,628
  6. Step 6: Final answer
    x = 1,190,645.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.