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Finding the Third Proportional to 460,754 and 697,572

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Solution

The third proportional to 460,754 and 697,572 is: 1,056,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,754 : 697,572 = 697,572 : x
  2. Step 2: Convert to fraction form
    460,754/697,572 = 697,572/x
  3. Step 3: Cross multiply
    460,754x = 697,572 × 697,572
  4. Step 4: Simplify right side
    460,754x = 486,606,695,184
  5. Step 5: Solve for x
    x = 486,606,695,184/460,754
  6. Step 6: Final answer
    x = 1,056,109.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.