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Finding the Third Proportional to 310,010 and 438,785

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Solution

The third proportional to 310,010 and 438,785 is: 621,051.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,010 : 438,785 = 438,785 : x
  2. Step 2: Convert to fraction form
    310,010/438,785 = 438,785/x
  3. Step 3: Cross multiply
    310,010x = 438,785 × 438,785
  4. Step 4: Simplify right side
    310,010x = 192,532,276,225
  5. Step 5: Solve for x
    x = 192,532,276,225/310,010
  6. Step 6: Final answer
    x = 621,051.82

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.