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Finding the Third Proportional to 492,752 and 686,528

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Solution

The third proportional to 492,752 and 686,528 is: 956,506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,752 : 686,528 = 686,528 : x
  2. Step 2: Convert to fraction form
    492,752/686,528 = 686,528/x
  3. Step 3: Cross multiply
    492,752x = 686,528 × 686,528
  4. Step 4: Simplify right side
    492,752x = 471,320,694,784
  5. Step 5: Solve for x
    x = 471,320,694,784/492,752
  6. Step 6: Final answer
    x = 956,506.91

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.