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Finding the Third Proportional to 503,725.50 and 760,437

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Solution

The third proportional to 503,725.50 and 760,437 is: 1,147,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,725.50 : 760,437 = 760,437 : x
  2. Step 2: Convert to fraction form
    503,725.50/760,437 = 760,437/x
  3. Step 3: Cross multiply
    503,725.50x = 760,437 × 760,437
  4. Step 4: Simplify right side
    503,725.50x = 578,264,430,969
  5. Step 5: Solve for x
    x = 578,264,430,969/503,725.50
  6. Step 6: Final answer
    x = 1,147,975.30

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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.