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Finding the Third Proportional to 501.19 and 780.26

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Solution

The third proportional to 501.19 and 780.26 is: 1,214.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 780.26 = 780.26 : x
  2. Step 2: Convert to fraction form
    501.19/780.26 = 780.26/x
  3. Step 3: Cross multiply
    501.19x = 780.26 × 780.26
  4. Step 4: Simplify right side
    501.19x = 608,802.25
  5. Step 5: Solve for x
    x = 608,802.25/501.19
  6. Step 6: Final answer
    x = 1,214.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.