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Finding the Third Proportional to 503,071 and 761,086.50

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Solution

The third proportional to 503,071 and 761,086.50 is: 1,151,433.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,071 : 761,086.50 = 761,086.50 : x
  2. Step 2: Convert to fraction form
    503,071/761,086.50 = 761,086.50/x
  3. Step 3: Cross multiply
    503,071x = 761,086.50 × 761,086.50
  4. Step 4: Simplify right side
    503,071x = 579,252,660,482.25
  5. Step 5: Solve for x
    x = 579,252,660,482.25/503,071
  6. Step 6: Final answer
    x = 1,151,433.22

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