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Finding the Third Proportional to 264,024 and 623,070

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Solution

The third proportional to 264,024 and 623,070 is: 1,470,382.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,024 : 623,070 = 623,070 : x
  2. Step 2: Convert to fraction form
    264,024/623,070 = 623,070/x
  3. Step 3: Cross multiply
    264,024x = 623,070 × 623,070
  4. Step 4: Simplify right side
    264,024x = 388,216,224,900
  5. Step 5: Solve for x
    x = 388,216,224,900/264,024
  6. Step 6: Final answer
    x = 1,470,382.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.