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Finding the Third Proportional to 200,988 and 495,585

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Solution

The third proportional to 200,988 and 495,585 is: 1,221,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,988 : 495,585 = 495,585 : x
  2. Step 2: Convert to fraction form
    200,988/495,585 = 495,585/x
  3. Step 3: Cross multiply
    200,988x = 495,585 × 495,585
  4. Step 4: Simplify right side
    200,988x = 245,604,492,225
  5. Step 5: Solve for x
    x = 245,604,492,225/200,988
  6. Step 6: Final answer
    x = 1,221,985.85

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.