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Finding the Third Proportional to 897.06 and 1,316.13

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Solution

The third proportional to 897.06 and 1,316.13 is: 1,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.06 : 1,316.13 = 1,316.13 : x
  2. Step 2: Convert to fraction form
    897.06/1,316.13 = 1,316.13/x
  3. Step 3: Cross multiply
    897.06x = 1,316.13 × 1,316.13
  4. Step 4: Simplify right side
    897.06x = 1,732,185.02
  5. Step 5: Solve for x
    x = 1,732,185.02/897.06
  6. Step 6: Final answer
    x = 1,930.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.