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Finding the Third Proportional to 310,635 and 652,455

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Solution

The third proportional to 310,635 and 652,455 is: 1,370,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,635 : 652,455 = 652,455 : x
  2. Step 2: Convert to fraction form
    310,635/652,455 = 652,455/x
  3. Step 3: Cross multiply
    310,635x = 652,455 × 652,455
  4. Step 4: Simplify right side
    310,635x = 425,697,527,025
  5. Step 5: Solve for x
    x = 425,697,527,025/310,635
  6. Step 6: Final answer
    x = 1,370,410.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.