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Finding the Third Proportional to 322,216 and 473,455

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Solution

The third proportional to 322,216 and 473,455 is: 695,681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,216 : 473,455 = 473,455 : x
  2. Step 2: Convert to fraction form
    322,216/473,455 = 473,455/x
  3. Step 3: Cross multiply
    322,216x = 473,455 × 473,455
  4. Step 4: Simplify right side
    322,216x = 224,159,637,025
  5. Step 5: Solve for x
    x = 224,159,637,025/322,216
  6. Step 6: Final answer
    x = 695,681.27

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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.