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Finding the Third Proportional to 503,072 and 761,088

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Solution

The third proportional to 503,072 and 761,088 is: 1,151,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,072 : 761,088 = 761,088 : x
  2. Step 2: Convert to fraction form
    503,072/761,088 = 761,088/x
  3. Step 3: Cross multiply
    503,072x = 761,088 × 761,088
  4. Step 4: Simplify right side
    503,072x = 579,254,943,744
  5. Step 5: Solve for x
    x = 579,254,943,744/503,072
  6. Step 6: Final answer
    x = 1,151,435.47

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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.