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Finding the Third Proportional to 562,924 and 841,576

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Solution

The third proportional to 562,924 and 841,576 is: 1,258,163.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,924 : 841,576 = 841,576 : x
  2. Step 2: Convert to fraction form
    562,924/841,576 = 841,576/x
  3. Step 3: Cross multiply
    562,924x = 841,576 × 841,576
  4. Step 4: Simplify right side
    562,924x = 708,250,163,776
  5. Step 5: Solve for x
    x = 708,250,163,776/562,924
  6. Step 6: Final answer
    x = 1,258,163.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.