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Finding the Third Proportional to 310,658 and 465,507

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Solution

The third proportional to 310,658 and 465,507 is: 697,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,658 : 465,507 = 465,507 : x
  2. Step 2: Convert to fraction form
    310,658/465,507 = 465,507/x
  3. Step 3: Cross multiply
    310,658x = 465,507 × 465,507
  4. Step 4: Simplify right side
    310,658x = 216,696,767,049
  5. Step 5: Solve for x
    x = 216,696,767,049/310,658
  6. Step 6: Final answer
    x = 697,541.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.