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Finding the Third Proportional to 497,556 and 745,549.50

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Solution

The third proportional to 497,556 and 745,549.50 is: 1,117,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,556 : 745,549.50 = 745,549.50 : x
  2. Step 2: Convert to fraction form
    497,556/745,549.50 = 745,549.50/x
  3. Step 3: Cross multiply
    497,556x = 745,549.50 × 745,549.50
  4. Step 4: Simplify right side
    497,556x = 555,844,056,950.25
  5. Step 5: Solve for x
    x = 555,844,056,950.25/497,556
  6. Step 6: Final answer
    x = 1,117,148.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.