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Finding the Third Proportional to 346,823,411.50 and 501,099,937.50

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Solution

The third proportional to 346,823,411.50 and 501,099,937.50 is: 724,002,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,823,411.50 : 501,099,937.50 = 501,099,937.50 : x
  2. Step 2: Convert to fraction form
    346,823,411.50/501,099,937.50 = 501,099,937.50/x
  3. Step 3: Cross multiply
    346,823,411.50x = 501,099,937.50 × 501,099,937.50
  4. Step 4: Simplify right side
    346,823,411.50x = 251,101,147,362,503,904
  5. Step 5: Solve for x
    x = 251,101,147,362,503,904/346,823,411.50
  6. Step 6: Final answer
    x = 724,002,875.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.