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Finding the Third Proportional to 497,259 and 1,085,602.50

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Solution

The third proportional to 497,259 and 1,085,602.50 is: 2,370,058.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,259 : 1,085,602.50 = 1,085,602.50 : x
  2. Step 2: Convert to fraction form
    497,259/1,085,602.50 = 1,085,602.50/x
  3. Step 3: Cross multiply
    497,259x = 1,085,602.50 × 1,085,602.50
  4. Step 4: Simplify right side
    497,259x = 1,178,532,788,006.25
  5. Step 5: Solve for x
    x = 1,178,532,788,006.25/497,259
  6. Step 6: Final answer
    x = 2,370,058.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.