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Finding the Third Proportional to 503,028 and 785,159.75

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Solution

The third proportional to 503,028 and 785,159.75 is: 1,225,529.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,028 : 785,159.75 = 785,159.75 : x
  2. Step 2: Convert to fraction form
    503,028/785,159.75 = 785,159.75/x
  3. Step 3: Cross multiply
    503,028x = 785,159.75 × 785,159.75
  4. Step 4: Simplify right side
    503,028x = 616,475,833,020.06
  5. Step 5: Solve for x
    x = 616,475,833,020.06/503,028
  6. Step 6: Final answer
    x = 1,225,529.86

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.