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Finding the Third Proportional to 255,450,647 and 559,262,371

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Solution

The third proportional to 255,450,647 and 559,262,371 is: 1,224,402,456.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,450,647 : 559,262,371 = 559,262,371 : x
  2. Step 2: Convert to fraction form
    255,450,647/559,262,371 = 559,262,371/x
  3. Step 3: Cross multiply
    255,450,647x = 559,262,371 × 559,262,371
  4. Step 4: Simplify right side
    255,450,647x = 312,774,399,616,541,632
  5. Step 5: Solve for x
    x = 312,774,399,616,541,632/255,450,647
  6. Step 6: Final answer
    x = 1,224,402,456.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.