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Finding the Third Proportional to 404,730 and 593,973

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Solution

The third proportional to 404,730 and 593,973 is: 871,701.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,730 : 593,973 = 593,973 : x
  2. Step 2: Convert to fraction form
    404,730/593,973 = 593,973/x
  3. Step 3: Cross multiply
    404,730x = 593,973 × 593,973
  4. Step 4: Simplify right side
    404,730x = 352,803,924,729
  5. Step 5: Solve for x
    x = 352,803,924,729/404,730
  6. Step 6: Final answer
    x = 871,701.94

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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.