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Finding the Third Proportional to 324,480 and 697,248

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Solution

The third proportional to 324,480 and 697,248 is: 1,498,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,480 : 697,248 = 697,248 : x
  2. Step 2: Convert to fraction form
    324,480/697,248 = 697,248/x
  3. Step 3: Cross multiply
    324,480x = 697,248 × 697,248
  4. Step 4: Simplify right side
    324,480x = 486,154,773,504
  5. Step 5: Solve for x
    x = 486,154,773,504/324,480
  6. Step 6: Final answer
    x = 1,498,258.05

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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.