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Finding the Third Proportional to 560,213 and 846,989

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Solution

The third proportional to 560,213 and 846,989 is: 1,280,567.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,213 : 846,989 = 846,989 : x
  2. Step 2: Convert to fraction form
    560,213/846,989 = 846,989/x
  3. Step 3: Cross multiply
    560,213x = 846,989 × 846,989
  4. Step 4: Simplify right side
    560,213x = 717,390,366,121
  5. Step 5: Solve for x
    x = 717,390,366,121/560,213
  6. Step 6: Final answer
    x = 1,280,567.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.