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Finding the Third Proportional to 233,528 and 374,590

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Solution

The third proportional to 233,528 and 374,590 is: 600,860.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,528 : 374,590 = 374,590 : x
  2. Step 2: Convert to fraction form
    233,528/374,590 = 374,590/x
  3. Step 3: Cross multiply
    233,528x = 374,590 × 374,590
  4. Step 4: Simplify right side
    233,528x = 140,317,668,100
  5. Step 5: Solve for x
    x = 140,317,668,100/233,528
  6. Step 6: Final answer
    x = 600,860.15

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.