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Finding the Third Proportional to 342,000,590 and 717,593,500

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Solution

The third proportional to 342,000,590 and 717,593,500 is: 1,505,671,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000,590 : 717,593,500 = 717,593,500 : x
  2. Step 2: Convert to fraction form
    342,000,590/717,593,500 = 717,593,500/x
  3. Step 3: Cross multiply
    342,000,590x = 717,593,500 × 717,593,500
  4. Step 4: Simplify right side
    342,000,590x = 514,940,431,242,249,984
  5. Step 5: Solve for x
    x = 514,940,431,242,249,984/342,000,590
  6. Step 6: Final answer
    x = 1,505,671,178.06

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.