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Finding the Third Proportional to 501,012 and 883,000

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Solution

The third proportional to 501,012 and 883,000 is: 1,556,228.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,012 : 883,000 = 883,000 : x
  2. Step 2: Convert to fraction form
    501,012/883,000 = 883,000/x
  3. Step 3: Cross multiply
    501,012x = 883,000 × 883,000
  4. Step 4: Simplify right side
    501,012x = 779,689,000,000
  5. Step 5: Solve for x
    x = 779,689,000,000/501,012
  6. Step 6: Final answer
    x = 1,556,228.19

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.