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Finding the Third Proportional to 506,576 and 802,146

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Solution

The third proportional to 506,576 and 802,146 is: 1,270,171.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,576 : 802,146 = 802,146 : x
  2. Step 2: Convert to fraction form
    506,576/802,146 = 802,146/x
  3. Step 3: Cross multiply
    506,576x = 802,146 × 802,146
  4. Step 4: Simplify right side
    506,576x = 643,438,205,316
  5. Step 5: Solve for x
    x = 643,438,205,316/506,576
  6. Step 6: Final answer
    x = 1,270,171.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.