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Finding the Third Proportional to 287,574 and 624,827

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Solution

The third proportional to 287,574 and 624,827 is: 1,357,594.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,574 : 624,827 = 624,827 : x
  2. Step 2: Convert to fraction form
    287,574/624,827 = 624,827/x
  3. Step 3: Cross multiply
    287,574x = 624,827 × 624,827
  4. Step 4: Simplify right side
    287,574x = 390,408,779,929
  5. Step 5: Solve for x
    x = 390,408,779,929/287,574
  6. Step 6: Final answer
    x = 1,357,594.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.