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Finding the Third Proportional to 643,312 and 946,252.50

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Solution

The third proportional to 643,312 and 946,252.50 is: 1,391,849.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,312 : 946,252.50 = 946,252.50 : x
  2. Step 2: Convert to fraction form
    643,312/946,252.50 = 946,252.50/x
  3. Step 3: Cross multiply
    643,312x = 946,252.50 × 946,252.50
  4. Step 4: Simplify right side
    643,312x = 895,393,793,756.25
  5. Step 5: Solve for x
    x = 895,393,793,756.25/643,312
  6. Step 6: Final answer
    x = 1,391,849.98

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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.