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Finding the Third Proportional to 460,480,228 and 708,505,756

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Solution

The third proportional to 460,480,228 and 708,505,756 is: 1,090,123,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,480,228 : 708,505,756 = 708,505,756 : x
  2. Step 2: Convert to fraction form
    460,480,228/708,505,756 = 708,505,756/x
  3. Step 3: Cross multiply
    460,480,228x = 708,505,756 × 708,505,756
  4. Step 4: Simplify right side
    460,480,228x = 501,980,406,285,131,520
  5. Step 5: Solve for x
    x = 501,980,406,285,131,520/460,480,228
  6. Step 6: Final answer
    x = 1,090,123,692.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.