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Finding the Third Proportional to 576,315 and 925,984.50

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Solution

The third proportional to 576,315 and 925,984.50 is: 1,487,810.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,315 : 925,984.50 = 925,984.50 : x
  2. Step 2: Convert to fraction form
    576,315/925,984.50 = 925,984.50/x
  3. Step 3: Cross multiply
    576,315x = 925,984.50 × 925,984.50
  4. Step 4: Simplify right side
    576,315x = 857,447,294,240.25
  5. Step 5: Solve for x
    x = 857,447,294,240.25/576,315
  6. Step 6: Final answer
    x = 1,487,810.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.