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Finding the Third Proportional to 232,730 and 506,931.50

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Solution

The third proportional to 232,730 and 506,931.50 is: 1,104,196.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,730 : 506,931.50 = 506,931.50 : x
  2. Step 2: Convert to fraction form
    232,730/506,931.50 = 506,931.50/x
  3. Step 3: Cross multiply
    232,730x = 506,931.50 × 506,931.50
  4. Step 4: Simplify right side
    232,730x = 256,979,545,692.25
  5. Step 5: Solve for x
    x = 256,979,545,692.25/232,730
  6. Step 6: Final answer
    x = 1,104,196.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.