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Finding the Third Proportional to 503,302 and 762,283

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Solution

The third proportional to 503,302 and 762,283 is: 1,154,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,302 : 762,283 = 762,283 : x
  2. Step 2: Convert to fraction form
    503,302/762,283 = 762,283/x
  3. Step 3: Cross multiply
    503,302x = 762,283 × 762,283
  4. Step 4: Simplify right side
    503,302x = 581,075,372,089
  5. Step 5: Solve for x
    x = 581,075,372,089/503,302
  6. Step 6: Final answer
    x = 1,154,526.25

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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.