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Finding the Third Proportional to 287,501.63 and 630,362.25

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Solution

The third proportional to 287,501.63 and 630,362.25 is: 1,382,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,501.63 : 630,362.25 = 630,362.25 : x
  2. Step 2: Convert to fraction form
    287,501.63/630,362.25 = 630,362.25/x
  3. Step 3: Cross multiply
    287,501.63x = 630,362.25 × 630,362.25
  4. Step 4: Simplify right side
    287,501.63x = 397,356,566,225.06
  5. Step 5: Solve for x
    x = 397,356,566,225.06/287,501.63
  6. Step 6: Final answer
    x = 1,382,101.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.