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Finding the Third Proportional to 336,964 and 732,973

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Solution

The third proportional to 336,964 and 732,973 is: 1,594,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,964 : 732,973 = 732,973 : x
  2. Step 2: Convert to fraction form
    336,964/732,973 = 732,973/x
  3. Step 3: Cross multiply
    336,964x = 732,973 × 732,973
  4. Step 4: Simplify right side
    336,964x = 537,249,418,729
  5. Step 5: Solve for x
    x = 537,249,418,729/336,964
  6. Step 6: Final answer
    x = 1,594,382.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.