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Finding the Third Proportional to 296,034 and 623,010

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Solution

The third proportional to 296,034 and 623,010 is: 1,311,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,034 : 623,010 = 623,010 : x
  2. Step 2: Convert to fraction form
    296,034/623,010 = 623,010/x
  3. Step 3: Cross multiply
    296,034x = 623,010 × 623,010
  4. Step 4: Simplify right side
    296,034x = 388,141,460,100
  5. Step 5: Solve for x
    x = 388,141,460,100/296,034
  6. Step 6: Final answer
    x = 1,311,138.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.