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Finding the Third Proportional to 572,804 and 841,668

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Solution

The third proportional to 572,804 and 841,668 is: 1,236,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,804 : 841,668 = 841,668 : x
  2. Step 2: Convert to fraction form
    572,804/841,668 = 841,668/x
  3. Step 3: Cross multiply
    572,804x = 841,668 × 841,668
  4. Step 4: Simplify right side
    572,804x = 708,405,022,224
  5. Step 5: Solve for x
    x = 708,405,022,224/572,804
  6. Step 6: Final answer
    x = 1,236,731.98

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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.