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Finding the Third Proportional to 467,580 and 668,590

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Solution

The third proportional to 467,580 and 668,590 is: 956,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,580 : 668,590 = 668,590 : x
  2. Step 2: Convert to fraction form
    467,580/668,590 = 668,590/x
  3. Step 3: Cross multiply
    467,580x = 668,590 × 668,590
  4. Step 4: Simplify right side
    467,580x = 447,012,588,100
  5. Step 5: Solve for x
    x = 447,012,588,100/467,580
  6. Step 6: Final answer
    x = 956,013.06

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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.