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Finding the Third Proportional to 634,368 and 864,048

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Solution

The third proportional to 634,368 and 864,048 is: 1,176,886.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,368 : 864,048 = 864,048 : x
  2. Step 2: Convert to fraction form
    634,368/864,048 = 864,048/x
  3. Step 3: Cross multiply
    634,368x = 864,048 × 864,048
  4. Step 4: Simplify right side
    634,368x = 746,578,946,304
  5. Step 5: Solve for x
    x = 746,578,946,304/634,368
  6. Step 6: Final answer
    x = 1,176,886.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.