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Finding the Third Proportional to 370,548 and 565,285.50

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Solution

The third proportional to 370,548 and 565,285.50 is: 862,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,548 : 565,285.50 = 565,285.50 : x
  2. Step 2: Convert to fraction form
    370,548/565,285.50 = 565,285.50/x
  3. Step 3: Cross multiply
    370,548x = 565,285.50 × 565,285.50
  4. Step 4: Simplify right side
    370,548x = 319,547,696,510.25
  5. Step 5: Solve for x
    x = 319,547,696,510.25/370,548
  6. Step 6: Final answer
    x = 862,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.