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Finding the Third Proportional to 341,009,370 and 498,567,627

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Solution

The third proportional to 341,009,370 and 498,567,627 is: 728,923,309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,009,370 : 498,567,627 = 498,567,627 : x
  2. Step 2: Convert to fraction form
    341,009,370/498,567,627 = 498,567,627/x
  3. Step 3: Cross multiply
    341,009,370x = 498,567,627 × 498,567,627
  4. Step 4: Simplify right side
    341,009,370x = 248,569,678,692,411,136
  5. Step 5: Solve for x
    x = 248,569,678,692,411,136/341,009,370
  6. Step 6: Final answer
    x = 728,923,309.91

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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.