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Finding the Third Proportional to 565,575 and 1,230,658

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Solution

The third proportional to 565,575 and 1,230,658 is: 2,677,839.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,575 : 1,230,658 = 1,230,658 : x
  2. Step 2: Convert to fraction form
    565,575/1,230,658 = 1,230,658/x
  3. Step 3: Cross multiply
    565,575x = 1,230,658 × 1,230,658
  4. Step 4: Simplify right side
    565,575x = 1,514,519,112,964
  5. Step 5: Solve for x
    x = 1,514,519,112,964/565,575
  6. Step 6: Final answer
    x = 2,677,839.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.