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Finding the Third Proportional to 341,460,868.50 and 749,288,385

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Solution

The third proportional to 341,460,868.50 and 749,288,385 is: 1,644,209,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,460,868.50 : 749,288,385 = 749,288,385 : x
  2. Step 2: Convert to fraction form
    341,460,868.50/749,288,385 = 749,288,385/x
  3. Step 3: Cross multiply
    341,460,868.50x = 749,288,385 × 749,288,385
  4. Step 4: Simplify right side
    341,460,868.50x = 561,433,083,895,908,224
  5. Step 5: Solve for x
    x = 561,433,083,895,908,224/341,460,868.50
  6. Step 6: Final answer
    x = 1,644,209,148.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.