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Finding the Third Proportional to 728,878.50 and 1,590,526.13

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Solution

The third proportional to 728,878.50 and 1,590,526.13 is: 3,470,775.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,878.50 : 1,590,526.13 = 1,590,526.13 : x
  2. Step 2: Convert to fraction form
    728,878.50/1,590,526.13 = 1,590,526.13/x
  3. Step 3: Cross multiply
    728,878.50x = 1,590,526.13 × 1,590,526.13
  4. Step 4: Simplify right side
    728,878.50x = 2,529,773,354,307.52
  5. Step 5: Solve for x
    x = 2,529,773,354,307.52/728,878.50
  6. Step 6: Final answer
    x = 3,470,775.11

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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.