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Finding the Third Proportional to 316,130 and 684,724

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Solution

The third proportional to 316,130 and 684,724 is: 1,483,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,130 : 684,724 = 684,724 : x
  2. Step 2: Convert to fraction form
    316,130/684,724 = 684,724/x
  3. Step 3: Cross multiply
    316,130x = 684,724 × 684,724
  4. Step 4: Simplify right side
    316,130x = 468,846,956,176
  5. Step 5: Solve for x
    x = 468,846,956,176/316,130
  6. Step 6: Final answer
    x = 1,483,082.77

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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.