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Finding the Third Proportional to 437,586 and 714,528

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Solution

The third proportional to 437,586 and 714,528 is: 1,166,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,586 : 714,528 = 714,528 : x
  2. Step 2: Convert to fraction form
    437,586/714,528 = 714,528/x
  3. Step 3: Cross multiply
    437,586x = 714,528 × 714,528
  4. Step 4: Simplify right side
    437,586x = 510,550,262,784
  5. Step 5: Solve for x
    x = 510,550,262,784/437,586
  6. Step 6: Final answer
    x = 1,166,742.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.