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Finding the Third Proportional to 255,450,645 and 559,262,367

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Solution

The third proportional to 255,450,645 and 559,262,367 is: 1,224,402,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,450,645 : 559,262,367 = 559,262,367 : x
  2. Step 2: Convert to fraction form
    255,450,645/559,262,367 = 559,262,367/x
  3. Step 3: Cross multiply
    255,450,645x = 559,262,367 × 559,262,367
  4. Step 4: Simplify right side
    255,450,645x = 312,774,395,142,442,688
  5. Step 5: Solve for x
    x = 312,774,395,142,442,688/255,450,645
  6. Step 6: Final answer
    x = 1,224,402,448.24

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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.