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Finding the Third Proportional to 230,088 and 500,658

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Solution

The third proportional to 230,088 and 500,658 is: 1,089,402.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,088 : 500,658 = 500,658 : x
  2. Step 2: Convert to fraction form
    230,088/500,658 = 500,658/x
  3. Step 3: Cross multiply
    230,088x = 500,658 × 500,658
  4. Step 4: Simplify right side
    230,088x = 250,658,432,964
  5. Step 5: Solve for x
    x = 250,658,432,964/230,088
  6. Step 6: Final answer
    x = 1,089,402.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.