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Finding the Third Proportional to 345,700 and 750,416

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Solution

The third proportional to 345,700 and 750,416 is: 1,628,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,700 : 750,416 = 750,416 : x
  2. Step 2: Convert to fraction form
    345,700/750,416 = 750,416/x
  3. Step 3: Cross multiply
    345,700x = 750,416 × 750,416
  4. Step 4: Simplify right side
    345,700x = 563,124,173,056
  5. Step 5: Solve for x
    x = 563,124,173,056/345,700
  6. Step 6: Final answer
    x = 1,628,938.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.