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Finding the Third Proportional to 430,062 and 601,511

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Solution

The third proportional to 430,062 and 601,511 is: 841,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,062 : 601,511 = 601,511 : x
  2. Step 2: Convert to fraction form
    430,062/601,511 = 601,511/x
  3. Step 3: Cross multiply
    430,062x = 601,511 × 601,511
  4. Step 4: Simplify right side
    430,062x = 361,815,483,121
  5. Step 5: Solve for x
    x = 361,815,483,121/430,062
  6. Step 6: Final answer
    x = 841,310.05

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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.