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Finding the Third Proportional to 346,629 and 750,119

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Solution

The third proportional to 346,629 and 750,119 is: 1,623,287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,629 : 750,119 = 750,119 : x
  2. Step 2: Convert to fraction form
    346,629/750,119 = 750,119/x
  3. Step 3: Cross multiply
    346,629x = 750,119 × 750,119
  4. Step 4: Simplify right side
    346,629x = 562,678,514,161
  5. Step 5: Solve for x
    x = 562,678,514,161/346,629
  6. Step 6: Final answer
    x = 1,623,287.47

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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.