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Finding the Third Proportional to 430,433,784 and 603,983,898

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Solution

The third proportional to 430,433,784 and 603,983,898 is: 847,509,100.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,433,784 : 603,983,898 = 603,983,898 : x
  2. Step 2: Convert to fraction form
    430,433,784/603,983,898 = 603,983,898/x
  3. Step 3: Cross multiply
    430,433,784x = 603,983,898 × 603,983,898
  4. Step 4: Simplify right side
    430,433,784x = 364,796,549,043,274,432
  5. Step 5: Solve for x
    x = 364,796,549,043,274,432/430,433,784
  6. Step 6: Final answer
    x = 847,509,100.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.