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Finding the Third Proportional to 302,871 and 455,038.50

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Solution

The third proportional to 302,871 and 455,038.50 is: 683,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,871 : 455,038.50 = 455,038.50 : x
  2. Step 2: Convert to fraction form
    302,871/455,038.50 = 455,038.50/x
  3. Step 3: Cross multiply
    302,871x = 455,038.50 × 455,038.50
  4. Step 4: Simplify right side
    302,871x = 207,060,036,482.25
  5. Step 5: Solve for x
    x = 207,060,036,482.25/302,871
  6. Step 6: Final answer
    x = 683,657.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.