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Finding the Third Proportional to 560,309 and 838,483.50

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Solution

The third proportional to 560,309 and 838,483.50 is: 1,254,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,309 : 838,483.50 = 838,483.50 : x
  2. Step 2: Convert to fraction form
    560,309/838,483.50 = 838,483.50/x
  3. Step 3: Cross multiply
    560,309x = 838,483.50 × 838,483.50
  4. Step 4: Simplify right side
    560,309x = 703,054,579,772.25
  5. Step 5: Solve for x
    x = 703,054,579,772.25/560,309
  6. Step 6: Final answer
    x = 1,254,762.25

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