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Finding the Third Proportional to 346,661,527.50 and 705,429,927

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Solution

The third proportional to 346,661,527.50 and 705,429,927 is: 1,435,496,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,661,527.50 : 705,429,927 = 705,429,927 : x
  2. Step 2: Convert to fraction form
    346,661,527.50/705,429,927 = 705,429,927/x
  3. Step 3: Cross multiply
    346,661,527.50x = 705,429,927 × 705,429,927
  4. Step 4: Simplify right side
    346,661,527.50x = 497,631,381,907,225,344
  5. Step 5: Solve for x
    x = 497,631,381,907,225,344/346,661,527.50
  6. Step 6: Final answer
    x = 1,435,496,420.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.