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Finding the Third Proportional to 450,292 and 713,024

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Solution

The third proportional to 450,292 and 713,024 is: 1,129,052.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,292 : 713,024 = 713,024 : x
  2. Step 2: Convert to fraction form
    450,292/713,024 = 713,024/x
  3. Step 3: Cross multiply
    450,292x = 713,024 × 713,024
  4. Step 4: Simplify right side
    450,292x = 508,403,224,576
  5. Step 5: Solve for x
    x = 508,403,224,576/450,292
  6. Step 6: Final answer
    x = 1,129,052.31

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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.