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Finding the Third Proportional to 286,587.75 and 607,312.50

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Solution

The third proportional to 286,587.75 and 607,312.50 is: 1,286,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,587.75 : 607,312.50 = 607,312.50 : x
  2. Step 2: Convert to fraction form
    286,587.75/607,312.50 = 607,312.50/x
  3. Step 3: Cross multiply
    286,587.75x = 607,312.50 × 607,312.50
  4. Step 4: Simplify right side
    286,587.75x = 368,828,472,656.25
  5. Step 5: Solve for x
    x = 368,828,472,656.25/286,587.75
  6. Step 6: Final answer
    x = 1,286,965.24

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.