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Finding the Third Proportional to 623,146.50 and 976,279.50

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Solution

The third proportional to 623,146.50 and 976,279.50 is: 1,529,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,146.50 : 976,279.50 = 976,279.50 : x
  2. Step 2: Convert to fraction form
    623,146.50/976,279.50 = 976,279.50/x
  3. Step 3: Cross multiply
    623,146.50x = 976,279.50 × 976,279.50
  4. Step 4: Simplify right side
    623,146.50x = 953,121,662,120.25
  5. Step 5: Solve for x
    x = 953,121,662,120.25/623,146.50
  6. Step 6: Final answer
    x = 1,529,530.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.