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Finding the Third Proportional to 302,844,262 and 657,374,284

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Solution

The third proportional to 302,844,262 and 657,374,284 is: 1,426,941,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844,262 : 657,374,284 = 657,374,284 : x
  2. Step 2: Convert to fraction form
    302,844,262/657,374,284 = 657,374,284/x
  3. Step 3: Cross multiply
    302,844,262x = 657,374,284 × 657,374,284
  4. Step 4: Simplify right side
    302,844,262x = 432,140,949,264,512,640
  5. Step 5: Solve for x
    x = 432,140,949,264,512,640/302,844,262
  6. Step 6: Final answer
    x = 1,426,941,182.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.