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Finding the Third Proportional to 249,583,441.50 and 389,484,472.50

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Solution

The third proportional to 249,583,441.50 and 389,484,472.50 is: 607,805,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,583,441.50 : 389,484,472.50 = 389,484,472.50 : x
  2. Step 2: Convert to fraction form
    249,583,441.50/389,484,472.50 = 389,484,472.50/x
  3. Step 3: Cross multiply
    249,583,441.50x = 389,484,472.50 × 389,484,472.50
  4. Step 4: Simplify right side
    249,583,441.50x = 151,698,154,318,603,264
  5. Step 5: Solve for x
    x = 151,698,154,318,603,264/249,583,441.50
  6. Step 6: Final answer
    x = 607,805,363.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.