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Finding the Third Proportional to 340,222 and 500,490

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Solution

The third proportional to 340,222 and 500,490 is: 736,255.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,222 : 500,490 = 500,490 : x
  2. Step 2: Convert to fraction form
    340,222/500,490 = 500,490/x
  3. Step 3: Cross multiply
    340,222x = 500,490 × 500,490
  4. Step 4: Simplify right side
    340,222x = 250,490,240,100
  5. Step 5: Solve for x
    x = 250,490,240,100/340,222
  6. Step 6: Final answer
    x = 736,255.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.