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Finding the Third Proportional to 432,576 and 924,936

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Solution

The third proportional to 432,576 and 924,936 is: 1,977,702.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,576 : 924,936 = 924,936 : x
  2. Step 2: Convert to fraction form
    432,576/924,936 = 924,936/x
  3. Step 3: Cross multiply
    432,576x = 924,936 × 924,936
  4. Step 4: Simplify right side
    432,576x = 855,506,604,096
  5. Step 5: Solve for x
    x = 855,506,604,096/432,576
  6. Step 6: Final answer
    x = 1,977,702.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.