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Finding the Third Proportional to 316,004 and 684,472

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Solution

The third proportional to 316,004 and 684,472 is: 1,482,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,004 : 684,472 = 684,472 : x
  2. Step 2: Convert to fraction form
    316,004/684,472 = 684,472/x
  3. Step 3: Cross multiply
    316,004x = 684,472 × 684,472
  4. Step 4: Simplify right side
    316,004x = 468,501,918,784
  5. Step 5: Solve for x
    x = 468,501,918,784/316,004
  6. Step 6: Final answer
    x = 1,482,582.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.