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Finding the Third Proportional to 511,495 and 744,754

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Solution

The third proportional to 511,495 and 744,754 is: 1,084,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,495 : 744,754 = 744,754 : x
  2. Step 2: Convert to fraction form
    511,495/744,754 = 744,754/x
  3. Step 3: Cross multiply
    511,495x = 744,754 × 744,754
  4. Step 4: Simplify right side
    511,495x = 554,658,520,516
  5. Step 5: Solve for x
    x = 554,658,520,516/511,495
  6. Step 6: Final answer
    x = 1,084,386.98

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.