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Finding the Third Proportional to 597,547.50 and 914,494.50

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Solution

The third proportional to 597,547.50 and 914,494.50 is: 1,399,554.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,547.50 : 914,494.50 = 914,494.50 : x
  2. Step 2: Convert to fraction form
    597,547.50/914,494.50 = 914,494.50/x
  3. Step 3: Cross multiply
    597,547.50x = 914,494.50 × 914,494.50
  4. Step 4: Simplify right side
    597,547.50x = 836,300,190,530.25
  5. Step 5: Solve for x
    x = 836,300,190,530.25/597,547.50
  6. Step 6: Final answer
    x = 1,399,554.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.