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Finding the Third Proportional to 450,768 and 702,000

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Solution

The third proportional to 450,768 and 702,000 is: 1,093,254.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,768 : 702,000 = 702,000 : x
  2. Step 2: Convert to fraction form
    450,768/702,000 = 702,000/x
  3. Step 3: Cross multiply
    450,768x = 702,000 × 702,000
  4. Step 4: Simplify right side
    450,768x = 492,804,000,000
  5. Step 5: Solve for x
    x = 492,804,000,000/450,768
  6. Step 6: Final answer
    x = 1,093,254.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.