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Finding the Third Proportional to 346,642 and 750,144

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Solution

The third proportional to 346,642 and 750,144 is: 1,623,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,642 : 750,144 = 750,144 : x
  2. Step 2: Convert to fraction form
    346,642/750,144 = 750,144/x
  3. Step 3: Cross multiply
    346,642x = 750,144 × 750,144
  4. Step 4: Simplify right side
    346,642x = 562,716,020,736
  5. Step 5: Solve for x
    x = 562,716,020,736/346,642
  6. Step 6: Final answer
    x = 1,623,334.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.