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Finding the Third Proportional to 456,504 and 702,564

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Solution

The third proportional to 456,504 and 702,564 is: 1,081,252.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,504 : 702,564 = 702,564 : x
  2. Step 2: Convert to fraction form
    456,504/702,564 = 702,564/x
  3. Step 3: Cross multiply
    456,504x = 702,564 × 702,564
  4. Step 4: Simplify right side
    456,504x = 493,596,174,096
  5. Step 5: Solve for x
    x = 493,596,174,096/456,504
  6. Step 6: Final answer
    x = 1,081,252.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.