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Finding the Third Proportional to 503,034 and 761,053.50

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Solution

The third proportional to 503,034 and 761,053.50 is: 1,151,418.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,034 : 761,053.50 = 761,053.50 : x
  2. Step 2: Convert to fraction form
    503,034/761,053.50 = 761,053.50/x
  3. Step 3: Cross multiply
    503,034x = 761,053.50 × 761,053.50
  4. Step 4: Simplify right side
    503,034x = 579,202,429,862.25
  5. Step 5: Solve for x
    x = 579,202,429,862.25/503,034
  6. Step 6: Final answer
    x = 1,151,418.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.