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Finding the Third Proportional to 282,379,572 and 412,732,499.63

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Solution

The third proportional to 282,379,572 and 412,732,499.63 is: 603,259,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,379,572 : 412,732,499.63 = 412,732,499.63 : x
  2. Step 2: Convert to fraction form
    282,379,572/412,732,499.63 = 412,732,499.63/x
  3. Step 3: Cross multiply
    282,379,572x = 412,732,499.63 × 412,732,499.63
  4. Step 4: Simplify right side
    282,379,572x = 170,348,116,246,700,640
  5. Step 5: Solve for x
    x = 170,348,116,246,700,640/282,379,572
  6. Step 6: Final answer
    x = 603,259,347.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.