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Finding the Third Proportional to 558,030.19 and 785,833.13

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Solution

The third proportional to 558,030.19 and 785,833.13 is: 1,106,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,030.19 : 785,833.13 = 785,833.13 : x
  2. Step 2: Convert to fraction form
    558,030.19/785,833.13 = 785,833.13/x
  3. Step 3: Cross multiply
    558,030.19x = 785,833.13 × 785,833.13
  4. Step 4: Simplify right side
    558,030.19x = 617,533,700,347.27
  5. Step 5: Solve for x
    x = 617,533,700,347.27/558,030.19
  6. Step 6: Final answer
    x = 1,106,631.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.