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Finding the Third Proportional to 673,498 and 1,045,663.50

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Solution

The third proportional to 673,498 and 1,045,663.50 is: 1,623,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,498 : 1,045,663.50 = 1,045,663.50 : x
  2. Step 2: Convert to fraction form
    673,498/1,045,663.50 = 1,045,663.50/x
  3. Step 3: Cross multiply
    673,498x = 1,045,663.50 × 1,045,663.50
  4. Step 4: Simplify right side
    673,498x = 1,093,412,155,232.25
  5. Step 5: Solve for x
    x = 1,093,412,155,232.25/673,498
  6. Step 6: Final answer
    x = 1,623,482.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.