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Finding the Third Proportional to 430,084 and 601,533

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Solution

The third proportional to 430,084 and 601,533 is: 841,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,084 : 601,533 = 601,533 : x
  2. Step 2: Convert to fraction form
    430,084/601,533 = 601,533/x
  3. Step 3: Cross multiply
    430,084x = 601,533 × 601,533
  4. Step 4: Simplify right side
    430,084x = 361,841,950,089
  5. Step 5: Solve for x
    x = 361,841,950,089/430,084
  6. Step 6: Final answer
    x = 841,328.55

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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.