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Finding the Third Proportional to 430,504 and 849,968

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Solution

The third proportional to 430,504 and 849,968 is: 1,678,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,504 : 849,968 = 849,968 : x
  2. Step 2: Convert to fraction form
    430,504/849,968 = 849,968/x
  3. Step 3: Cross multiply
    430,504x = 849,968 × 849,968
  4. Step 4: Simplify right side
    430,504x = 722,445,601,024
  5. Step 5: Solve for x
    x = 722,445,601,024/430,504
  6. Step 6: Final answer
    x = 1,678,139.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.