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Finding the Third Proportional to 303,292,498 and 654,913,300

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Solution

The third proportional to 303,292,498 and 654,913,300 is: 1,414,184,107.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,292,498 : 654,913,300 = 654,913,300 : x
  2. Step 2: Convert to fraction form
    303,292,498/654,913,300 = 654,913,300/x
  3. Step 3: Cross multiply
    303,292,498x = 654,913,300 × 654,913,300
  4. Step 4: Simplify right side
    303,292,498x = 428,911,430,516,889,984
  5. Step 5: Solve for x
    x = 428,911,430,516,889,984/303,292,498
  6. Step 6: Final answer
    x = 1,414,184,107.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.