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Finding the Third Proportional to 572,433 and 841,146

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Solution

The third proportional to 572,433 and 841,146 is: 1,235,998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,433 : 841,146 = 841,146 : x
  2. Step 2: Convert to fraction form
    572,433/841,146 = 841,146/x
  3. Step 3: Cross multiply
    572,433x = 841,146 × 841,146
  4. Step 4: Simplify right side
    572,433x = 707,526,593,316
  5. Step 5: Solve for x
    x = 707,526,593,316/572,433
  6. Step 6: Final answer
    x = 1,235,998.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.