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Finding the Third Proportional to 346,730,290 and 475,451,472

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Solution

The third proportional to 346,730,290 and 475,451,472 is: 651,959,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,730,290 : 475,451,472 = 475,451,472 : x
  2. Step 2: Convert to fraction form
    346,730,290/475,451,472 = 475,451,472/x
  3. Step 3: Cross multiply
    346,730,290x = 475,451,472 × 475,451,472
  4. Step 4: Simplify right side
    346,730,290x = 226,054,102,226,966,784
  5. Step 5: Solve for x
    x = 226,054,102,226,966,784/346,730,290
  6. Step 6: Final answer
    x = 651,959,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.