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Finding the Third Proportional to 576,312 and 830,187

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Solution

The third proportional to 576,312 and 830,187 is: 1,195,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,312 : 830,187 = 830,187 : x
  2. Step 2: Convert to fraction form
    576,312/830,187 = 830,187/x
  3. Step 3: Cross multiply
    576,312x = 830,187 × 830,187
  4. Step 4: Simplify right side
    576,312x = 689,210,454,969
  5. Step 5: Solve for x
    x = 689,210,454,969/576,312
  6. Step 6: Final answer
    x = 1,195,898.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.