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Finding the Third Proportional to 340,207 and 500,468

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Solution

The third proportional to 340,207 and 500,468 is: 736,223.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,207 : 500,468 = 500,468 : x
  2. Step 2: Convert to fraction form
    340,207/500,468 = 500,468/x
  3. Step 3: Cross multiply
    340,207x = 500,468 × 500,468
  4. Step 4: Simplify right side
    340,207x = 250,468,219,024
  5. Step 5: Solve for x
    x = 250,468,219,024/340,207
  6. Step 6: Final answer
    x = 736,223.00

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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.