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Finding the Third Proportional to 360,368 and 506,903.50

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Solution

The third proportional to 360,368 and 506,903.50 is: 713,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,368 : 506,903.50 = 506,903.50 : x
  2. Step 2: Convert to fraction form
    360,368/506,903.50 = 506,903.50/x
  3. Step 3: Cross multiply
    360,368x = 506,903.50 × 506,903.50
  4. Step 4: Simplify right side
    360,368x = 256,951,158,312.25
  5. Step 5: Solve for x
    x = 256,951,158,312.25/360,368
  6. Step 6: Final answer
    x = 713,024.35

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.