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Finding the Third Proportional to 292,045.50 and 426,981.38

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Solution

The third proportional to 292,045.50 and 426,981.38 is: 624,262.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,045.50 : 426,981.38 = 426,981.38 : x
  2. Step 2: Convert to fraction form
    292,045.50/426,981.38 = 426,981.38/x
  3. Step 3: Cross multiply
    292,045.50x = 426,981.38 × 426,981.38
  4. Step 4: Simplify right side
    292,045.50x = 182,313,094,596.89
  5. Step 5: Solve for x
    x = 182,313,094,596.89/292,045.50
  6. Step 6: Final answer
    x = 624,262.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.