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Finding the Third Proportional to 479,574 and 973,323

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Solution

The third proportional to 479,574 and 973,323 is: 1,975,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,574 : 973,323 = 973,323 : x
  2. Step 2: Convert to fraction form
    479,574/973,323 = 973,323/x
  3. Step 3: Cross multiply
    479,574x = 973,323 × 973,323
  4. Step 4: Simplify right side
    479,574x = 947,357,662,329
  5. Step 5: Solve for x
    x = 947,357,662,329/479,574
  6. Step 6: Final answer
    x = 1,975,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.