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Finding the Third Proportional to 342,030 and 749,730

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Solution

The third proportional to 342,030 and 749,730 is: 1,643,408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,030 : 749,730 = 749,730 : x
  2. Step 2: Convert to fraction form
    342,030/749,730 = 749,730/x
  3. Step 3: Cross multiply
    342,030x = 749,730 × 749,730
  4. Step 4: Simplify right side
    342,030x = 562,095,072,900
  5. Step 5: Solve for x
    x = 562,095,072,900/342,030
  6. Step 6: Final answer
    x = 1,643,408.69

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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.