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Finding the Third Proportional to 499,702.50 and 712,176

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Solution

The third proportional to 499,702.50 and 712,176 is: 1,014,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,702.50 : 712,176 = 712,176 : x
  2. Step 2: Convert to fraction form
    499,702.50/712,176 = 712,176/x
  3. Step 3: Cross multiply
    499,702.50x = 712,176 × 712,176
  4. Step 4: Simplify right side
    499,702.50x = 507,194,654,976
  5. Step 5: Solve for x
    x = 507,194,654,976/499,702.50
  6. Step 6: Final answer
    x = 1,014,993.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.