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Finding the Third Proportional to 219,283 and 472,403

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Solution

The third proportional to 219,283 and 472,403 is: 1,017,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,283 : 472,403 = 472,403 : x
  2. Step 2: Convert to fraction form
    219,283/472,403 = 472,403/x
  3. Step 3: Cross multiply
    219,283x = 472,403 × 472,403
  4. Step 4: Simplify right side
    219,283x = 223,164,594,409
  5. Step 5: Solve for x
    x = 223,164,594,409/219,283
  6. Step 6: Final answer
    x = 1,017,701.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.