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Finding the Third Proportional to 430,038 and 601,479

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Solution

The third proportional to 430,038 and 601,479 is: 841,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,038 : 601,479 = 601,479 : x
  2. Step 2: Convert to fraction form
    430,038/601,479 = 601,479/x
  3. Step 3: Cross multiply
    430,038x = 601,479 × 601,479
  4. Step 4: Simplify right side
    430,038x = 361,776,987,441
  5. Step 5: Solve for x
    x = 361,776,987,441/430,038
  6. Step 6: Final answer
    x = 841,267.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.