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Finding the Third Proportional to 450,300 and 713,036

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Solution

The third proportional to 450,300 and 713,036 is: 1,129,070.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,300 : 713,036 = 713,036 : x
  2. Step 2: Convert to fraction form
    450,300/713,036 = 713,036/x
  3. Step 3: Cross multiply
    450,300x = 713,036 × 713,036
  4. Step 4: Simplify right side
    450,300x = 508,420,337,296
  5. Step 5: Solve for x
    x = 508,420,337,296/450,300
  6. Step 6: Final answer
    x = 1,129,070.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.