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Finding the Third Proportional to 346,464 and 757,728

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Solution

The third proportional to 346,464 and 757,728 is: 1,657,175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,464 : 757,728 = 757,728 : x
  2. Step 2: Convert to fraction form
    346,464/757,728 = 757,728/x
  3. Step 3: Cross multiply
    346,464x = 757,728 × 757,728
  4. Step 4: Simplify right side
    346,464x = 574,151,721,984
  5. Step 5: Solve for x
    x = 574,151,721,984/346,464
  6. Step 6: Final answer
    x = 1,657,175.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.