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Finding the Third Proportional to 590,467 and 832,070

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Solution

The third proportional to 590,467 and 832,070 is: 1,172,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,467 : 832,070 = 832,070 : x
  2. Step 2: Convert to fraction form
    590,467/832,070 = 832,070/x
  3. Step 3: Cross multiply
    590,467x = 832,070 × 832,070
  4. Step 4: Simplify right side
    590,467x = 692,340,484,900
  5. Step 5: Solve for x
    x = 692,340,484,900/590,467
  6. Step 6: Final answer
    x = 1,172,530.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.