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Finding the Third Proportional to 503,724 and 760,438.50

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Solution

The third proportional to 503,724 and 760,438.50 is: 1,147,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,724 : 760,438.50 = 760,438.50 : x
  2. Step 2: Convert to fraction form
    503,724/760,438.50 = 760,438.50/x
  3. Step 3: Cross multiply
    503,724x = 760,438.50 × 760,438.50
  4. Step 4: Simplify right side
    503,724x = 578,266,712,282.25
  5. Step 5: Solve for x
    x = 578,266,712,282.25/503,724
  6. Step 6: Final answer
    x = 1,147,983.25

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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.