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Finding the Third Proportional to 507,820 and 746,016

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Solution

The third proportional to 507,820 and 746,016 is: 1,095,939.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,820 : 746,016 = 746,016 : x
  2. Step 2: Convert to fraction form
    507,820/746,016 = 746,016/x
  3. Step 3: Cross multiply
    507,820x = 746,016 × 746,016
  4. Step 4: Simplify right side
    507,820x = 556,539,872,256
  5. Step 5: Solve for x
    x = 556,539,872,256/507,820
  6. Step 6: Final answer
    x = 1,095,939.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.