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Finding the Third Proportional to 260,210,600 and 346,900,332

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Solution

The third proportional to 260,210,600 and 346,900,332 is: 462,470,938.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,210,600 : 346,900,332 = 346,900,332 : x
  2. Step 2: Convert to fraction form
    260,210,600/346,900,332 = 346,900,332/x
  3. Step 3: Cross multiply
    260,210,600x = 346,900,332 × 346,900,332
  4. Step 4: Simplify right side
    260,210,600x = 120,339,840,341,710,224
  5. Step 5: Solve for x
    x = 120,339,840,341,710,224/260,210,600
  6. Step 6: Final answer
    x = 462,470,938.32

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.