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Finding the Third Proportional to 464,570 and 703,283

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Solution

The third proportional to 464,570 and 703,283 is: 1,064,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,570 : 703,283 = 703,283 : x
  2. Step 2: Convert to fraction form
    464,570/703,283 = 703,283/x
  3. Step 3: Cross multiply
    464,570x = 703,283 × 703,283
  4. Step 4: Simplify right side
    464,570x = 494,606,978,089
  5. Step 5: Solve for x
    x = 494,606,978,089/464,570
  6. Step 6: Final answer
    x = 1,064,655.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.