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Finding the Third Proportional to 576,312 and 845,784

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Solution

The third proportional to 576,312 and 845,784 is: 1,241,255.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,312 : 845,784 = 845,784 : x
  2. Step 2: Convert to fraction form
    576,312/845,784 = 845,784/x
  3. Step 3: Cross multiply
    576,312x = 845,784 × 845,784
  4. Step 4: Simplify right side
    576,312x = 715,350,574,656
  5. Step 5: Solve for x
    x = 715,350,574,656/576,312
  6. Step 6: Final answer
    x = 1,241,255.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.