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Finding the Third Proportional to 346,745,634 and 508,623,420

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Solution

The third proportional to 346,745,634 and 508,623,420 is: 746,073,657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,745,634 : 508,623,420 = 508,623,420 : x
  2. Step 2: Convert to fraction form
    346,745,634/508,623,420 = 508,623,420/x
  3. Step 3: Cross multiply
    346,745,634x = 508,623,420 × 508,623,420
  4. Step 4: Simplify right side
    346,745,634x = 258,697,783,372,496,384
  5. Step 5: Solve for x
    x = 258,697,783,372,496,384/346,745,634
  6. Step 6: Final answer
    x = 746,073,657.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.