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Finding the Third Proportional to 332,460 and 526,523.63

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Solution

The third proportional to 332,460 and 526,523.63 is: 833,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,460 : 526,523.63 = 526,523.63 : x
  2. Step 2: Convert to fraction form
    332,460/526,523.63 = 526,523.63/x
  3. Step 3: Cross multiply
    332,460x = 526,523.63 × 526,523.63
  4. Step 4: Simplify right side
    332,460x = 277,227,127,683.14
  5. Step 5: Solve for x
    x = 277,227,127,683.14/332,460
  6. Step 6: Final answer
    x = 833,866.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.