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Finding the Third Proportional to 225,633 and 495,547

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Solution

The third proportional to 225,633 and 495,547 is: 1,088,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,633 : 495,547 = 495,547 : x
  2. Step 2: Convert to fraction form
    225,633/495,547 = 495,547/x
  3. Step 3: Cross multiply
    225,633x = 495,547 × 495,547
  4. Step 4: Simplify right side
    225,633x = 245,566,829,209
  5. Step 5: Solve for x
    x = 245,566,829,209/225,633
  6. Step 6: Final answer
    x = 1,088,346.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.