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Finding the Third Proportional to 718.48 and 1,547.01

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Solution

The third proportional to 718.48 and 1,547.01 is: 3,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.48 : 1,547.01 = 1,547.01 : x
  2. Step 2: Convert to fraction form
    718.48/1,547.01 = 1,547.01/x
  3. Step 3: Cross multiply
    718.48x = 1,547.01 × 1,547.01
  4. Step 4: Simplify right side
    718.48x = 2,393,244.60
  5. Step 5: Solve for x
    x = 2,393,244.60/718.48
  6. Step 6: Final answer
    x = 3,331.00

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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.